Any Composites? (Regarding n*k +1, n*k -1)

drew at math.mit.edu drew at math.mit.edu
Mon Apr 14 00:53:41 CEST 2008


so these results are not guaranteed.
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From: Richard Mathar <mathar at strw.leidenuniv.nl>
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To: seqfan at ext.jussieu.fr
Subject: Mma coding of A083099
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Date: Mon, 14 Apr 2008 08:39:48 -0400
From: "Maximilian Hasler" <Maximilian.Hasler at martinique.univ-ag.fr>
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To: "Richard Mathar" <mathar at strw.leidenuniv.nl>,
   "N. J. A. Sloane" <njas at research.att.com>
Subject: Re: Mma coding of A083099
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On Mon, Apr 14, 2008 at 7:11 AM, Richard Mathar
<mathar at strw.leidenuniv.nl> wrote:
>
>  Shouldn't the Mma source in A083099 (2nd version) start at n=1 instead
>  of n=1 and divide through 2 instead of 14, or, alternatively, have
>  exponents n-1 instead of n? I don't have access to Mma and cannot judge
>  the outcome of such changes.

IMHO the seq. should start 0,1,2,.... i.e. a(0)=0, a(1)=1 (initial
cond. are b.t.w. completely missing in the %N), which produces
correctly the next term 2 through the recurrence eq.
Then the Mmca code looks OK (I suppose it produces 0 for n=0 and 1 for
n=1), but still I don't understand why is written 7/14 instead of 1/2.
(But I'm not using Mmca either... tried several times these days to
download their new "player", but each time the downloaded file says
upon unpacking that the compressed data is corrupt...)

Maximilian





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